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The diagram below shows a critical path analysis for a project - HSC - SSCE Business Studies - Question 14 - 2012 - Paper 1

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The diagram below shows a critical path analysis for a project. The diagram consists of the following tasks and their durations: - Task A: 1 day - Task B: 3 days -... show full transcript

Worked Solution & Example Answer:The diagram below shows a critical path analysis for a project - HSC - SSCE Business Studies - Question 14 - 2012 - Paper 1

Step 1

Identify the Critical Path

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Answer

To find the minimum duration for the project, we need to identify all possible paths and their total durations. The paths to evaluate are as follows:

  1. Path A → B → F → G → Finish: 1 + 3 + 3 + 10 = 17 days
  2. Path A → C → F → G → Finish: 1 + 4 + 3 + 10 = 18 days
  3. Path A → D → E → I → K → Finish: 1 + 1 + 2 + 4 + 5 = 13 days
  4. Path A → D → E → I → F → G → Finish: 1 + 1 + 2 + 4 + 3 + 10 = 21 days
  5. Path A → D → E → I → H → K → Finish: 1 + 1 + 2 + 4 + 2 + 1 = 11 days

Reviewing these paths, the path with the shortest duration is Path A → B → F → G, totaling 17 days.

Step 2

Calculate the Minimum Days Needed

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Answer

After comparing the total durations of all paths calculated, the minimum number of days needed to complete the project is 17 days.

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